On the Equivalence of Discrete Systems in Time-Optimal ControlSource: Journal of Fluids Engineering:;1963:;volume( 085 ):;issue: 002::page 204Author:E. Polak
DOI: 10.1115/1.3656562Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: It is shown in this paper that under a transformation which maps the state space of a system onto a sequence space in a one-to-one manner, time-optimal discrete regulator systems with different dynamics and modulators can be brought to equivalence and that this fact may be used to construct an optimal control strategy for one system from the known optimal control strategy of another one. In particular, the optimal control strategy for a pulse-width-modulated discrete system with a plant described by an nth order linear differential equation is derived in this manner.
keyword(s): Discrete systems , Time optimal control , Optimal control , Industrial plants , Dynamics (Mechanics) AND Differential equations ,
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| contributor author | E. Polak | |
| date accessioned | 2017-05-08T23:12:48Z | |
| date available | 2017-05-08T23:12:48Z | |
| date copyright | June, 1963 | |
| date issued | 1963 | |
| identifier issn | 0098-2202 | |
| identifier other | JFEGA4-27249#204_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/95534 | |
| description abstract | It is shown in this paper that under a transformation which maps the state space of a system onto a sequence space in a one-to-one manner, time-optimal discrete regulator systems with different dynamics and modulators can be brought to equivalence and that this fact may be used to construct an optimal control strategy for one system from the known optimal control strategy of another one. In particular, the optimal control strategy for a pulse-width-modulated discrete system with a plant described by an nth order linear differential equation is derived in this manner. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Equivalence of Discrete Systems in Time-Optimal Control | |
| type | Journal Paper | |
| journal volume | 85 | |
| journal issue | 2 | |
| journal title | Journal of Fluids Engineering | |
| identifier doi | 10.1115/1.3656562 | |
| journal fristpage | 204 | |
| journal lastpage | 210 | |
| identifier eissn | 1528-901X | |
| keywords | Discrete systems | |
| keywords | Time optimal control | |
| keywords | Optimal control | |
| keywords | Industrial plants | |
| keywords | Dynamics (Mechanics) AND Differential equations | |
| tree | Journal of Fluids Engineering:;1963:;volume( 085 ):;issue: 002 | |
| contenttype | Fulltext |